10850183777664 has 896 divisors, whose sum is σ = 42162899258880. Its totient is φ = 2695656775680.

The previous prime is 10850183777647. The next prime is 10850183777669. The reversal of 10850183777664 is 46677738105801.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10850183777669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 165222724 + ... + 165288380.

Almost surely, 2^{10850183777664} is an apocalyptic number.

10850183777664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10850183777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081449629440).

10850183777664 is an abundant number, since it is smaller than the sum of its proper divisors (31312715481216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10850183777664 is an equidigital number, since it uses as much as digits as its factorization.

10850183777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65730 (or 65703 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 10850183777664 in words is "ten trillion, eight hundred fifty billion, one hundred eighty-three million, seven hundred seventy-seven thousand, six hundred sixty-four".